POV-Ray : Newsgroups : povray.programming : oblate spheriod : Re: oblate spheriod Server Time
2 May 2024 19:26:49 EDT (-0400)
  Re: oblate spheriod  
From: Mike Williams
Date: 15 Apr 2007 10:42:18
Message: <k04qSPA9mjIGFwUr@econym.demon.co.uk>
Wasn't it davidafisher who wrote:
>I'm trying to emulate the earth which is an oblate spheriod - flattened
>sphere.
>
>The true earth parameters are
>
>equatorial radius = 6378137
>polar radius = 6356752.314
>
>which gives a flattening effect of 1/298.257
>
>The correct result does not occur by scaling the y axis of a sphere to
>create the flattening. What seems a likely solution is an ellipse that is
>swept around its center.

Sweeping an ellipse around its short axis gives exactly the same result
as scaling a sphere along the y axis. In both cases the result is a true
oblate spheroid.

The Earth isn't exactly a true oblate spheroid, but the difference is
far too small to see.

In fact, you have to be sure to place your eye within 0.2 degrees of
being perfectly aligned with the centre of your monitor to have a chance
of seeing the difference between the representation of the Earth as a
sphere or as an oblate spheroid. If your eye is off centre by more than
that, then the perspective error caused by viewing the screen at a
slight angle exceeds the difference between the two shapes.

-- 
Mike Williams
Gentleman of Leisure


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